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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 3, Pages 402–409
DOI: https://doi.org/10.4213/tmf2043
(Mi tmf2043)
 

This article is cited in 51 scientific papers (total in 51 papers)

Iterative method for solving nonlinear integral equations describing rolling solutions in string theory

L. V. Zhukovskaya

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: We consider a nonlinear integral equation with infinitely many derivatives that appears when a system of interacting open and closed strings is investigated if the nonlocality in the closed string sector is neglected. We investigate the properties of this equation, construct an iterative method for solving it, and prove that the method converges.
Keywords: string theory, nonlinear integral equation, iterative method.
Received: 21.04.2005
Revised: 17.08.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 3, Pages 335–342
DOI: https://doi.org/10.1007/s11232-006-0043-3
Bibliographic databases:
Language: Russian
Citation: L. V. Zhukovskaya, “Iterative method for solving nonlinear integral equations describing rolling solutions in string theory”, TMF, 146:3 (2006), 402–409; Theoret. and Math. Phys., 146:3 (2006), 335–342
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf2043
  • https://www.mathnet.ru/eng/tmf/v146/i3/p402
  • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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